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Originally Posted by AtlUmpSteve
..and that the umpire (and batter) hear it (0.035 seconds later), ...
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Actually, the batter would hear it 0.025 seconds later or at about 16' 10" from the plate.
As to your question about being too late to be a distraction... don't know - it may be too late for a swing to begin to actually hit the ball, but that does not mean it is too late to be a distraction. Might depend on the age level.